What is the potential error in the proof of no magnetic fields?

In summary, the conversation is discussing question #33 on page 391 of a linked book. The topic is zero magnetic fields and a possible error in the equation B=curl(grad(u)) = 0. The participants are questioning if the error could be due to a dimensional incompatibility or the use of the divergence theorem on a closed surface.
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  • #2
hi kevi55

had a very quick look... could it be something like divergence theorem is for a closed surface so doesn't have a boundary to invoke stokes theorem on?
 

What is "Proof of no magnetic fields"?

"Proof of no magnetic fields" refers to the scientific evidence or experiments that demonstrate the absence of a magnetic field in a particular area or object.

How can you prove that there are no magnetic fields?

There are several ways to prove the absence of magnetic fields. One method is by using a magnetometer, which measures the strength and direction of magnetic fields. If no magnetic field is detected, it can be considered as proof of its absence. Other methods include using Faraday cages or conducting experiments to show that there is no magnetic force acting on a specific object.

What are some potential reasons for a lack of magnetic fields?

The absence of magnetic fields can be due to various reasons, such as the location or environment where the measurement is being taken. For example, areas with high levels of electrical interference or strong external magnetic fields may affect the accuracy of the results. Additionally, some materials, such as non-magnetic metals, can block or shield magnetic fields.

Can magnetic fields completely disappear?

No, magnetic fields cannot completely disappear. According to the laws of physics, magnetic fields are always present in some form. However, they can be weakened or canceled out by other magnetic fields or materials that can block or shield them. This may give the appearance of a "no magnetic field" area.

Why is it important to prove the absence of magnetic fields?

Proving the absence of magnetic fields is crucial for many scientific and technological applications. For instance, it can help in the development of sensitive instruments, such as MRI machines, and in understanding the behavior of objects in space, where there are weaker magnetic fields. It can also aid in identifying potential health hazards associated with strong magnetic fields.

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